38
38

Sep 19, 2013
09/13

by
Jennifer Schultens

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We describe a class of genus 2 closed hyperbolic 3-manifolds of arbitrarily large volume.

Source: http://arxiv.org/abs/math/0206165v1

152
152

Feb 4, 2016
02/16

by
Albert Schultens

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Topic: bub_upload

Source: http://books.google.com/books?id=auhojKIdMeUC&hl=&source=gbs_api

90
90

Dec 5, 2014
12/14

by
Albert Schultens

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favorite 0

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Topic: bub_upload

Source: http://books.google.com/books?id=RZg_AAAAcAAJ&hl=&source=gbs_api

705
705

Feb 9, 2015
02/15

by
Albert Schultens

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favorite 1

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comment 0

Topic: bub_upload

Source: http://books.google.com/books?id=e2VAAAAAcAAJ&hl=&source=gbs_api

102
102

Jan 30, 2016
01/16

by
Schultens, Albert

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eye 102

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favorite 0

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Topic: bub_upload

Source: http://books.google.com/books?id=tSxHAAAAcAAJ&hl=&source=gbs_api

102
102

May 16, 2016
05/16

by
Schultens, Albert

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eye 102

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favorite 0

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Topic: bub_upload

Source: http://books.google.com/books?id=uqFAAAAAcAAJ&hl=&source=gbs_api

814
814

Oct 10, 2014
10/14

by
Albert Schultens

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Topic: bub_upload

Source: http://books.google.com/books?id=FME7AAAAcAAJ&hl=&source=gbs_api

0
0.0

Jun 30, 2018
06/18

by
Jennifer Schultens

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The Kakimizu complex is usually defined in the context of knots, where it is known to be quasi-Euclidean. We here generalize the definition of the Kakimizu complex to surfaces and 3-manifolds (with or without boundary). Interestingly, in the setting of surfaces, the complexes and the techniques turn out to replicate those used to study the Torelli group, {\it i.e.,} the "nonlinear" subgroup of the mapping class group. Our main results are that the Kakimizu complexes of a surface are...

Topics: Mathematics, Geometric Topology

Source: http://arxiv.org/abs/1401.2111

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92

Jan 19, 2016
01/16

by
Albert Schultens

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Topic: bub_upload

Source: http://books.google.com/books?id=sDsUAAAAQAAJ&hl=&source=gbs_api

112
112

Sep 17, 2013
09/13

by
Jennifer Schultens

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Given a 3-manifold M containing an incompressible surface Q, we obtain an inequality relating the Heegaard genus of M and the Heegaard genera of the components of M - Q. Here the sum of the genera of the components of M - Q is bounded above by a linear expression in terms of the genus of M, the Euler characteristic of Q and the number of parallelism classes of essential annuli for which representatives can be simultaneously imbedded in the components of M - Q.

Source: http://arxiv.org/abs/math/0108028v3

Topic: bub_upload

Source: http://books.google.com/books?id=Wi_GCpXgxJkC&hl=&source=gbs_api

70
70

Jul 21, 2016
07/16

by
Albert Schultens

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favorite 0

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Topic: bub_upload

Source: http://books.google.com/books?id=DjMCqdaklS8C&hl=&source=gbs_api

225
225

Sep 10, 2016
09/16

by
Albert Schultens

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favorite 0

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comment 0

Topic: bub_upload

Source: http://books.google.com/books?id=zxWaGX-6-BEC&hl=&source=gbs_api

59
59

Sep 22, 2013
09/13

by
Jennifer Schultens

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We provide a new proof of the following results of H. Schubert: If K is a satellite knot with companion J and pattern L that lies in a solid torus T in which it has index k, then the bridge numbers satisfy the following: 1) The bridge number of K is greater than or equal to the product of k and the bridge number of J; 2) If K is a composite knot (this is the case k = 1), then the bridge number of K is one less than the sum of the bridge numbers of J and L.

Source: http://arxiv.org/abs/math/0111032v1

95
95

Sep 23, 2014
09/14

by
Albert Schultens

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Topics: atque, qui, pro, studiis, quam, oratio, vos, eft, oratio pro, verum etiam, ratio pro, hie vero,...

Source: http://books.google.com/books?id=331BAAAAcAAJ&hl=&source=gbs_api

33
33

Sep 18, 2013
09/13

by
Jennifer Schultens

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We consider how the universal abelian cover of a knot exterior sheds light on the Kakimizu complex of the knot. First, we introduce the notion of covering spread for pairs of Seifert surfaces of a knot and prove that it equals the distance less 1 of the corresponding vertices in the Kakimizu complex. This provides an effective way of computing distances in the Kakimizu complex. Second, we prove that the Kakimizu complex is simply connected. Finally, we show that if the Kakimizu complex of a...

Source: http://arxiv.org/abs/0707.3926v3

197
197

Nov 27, 2014
11/14

by
Albert Schultens

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favorite 0

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comment 0

Topic: bub_upload

Source: http://books.google.com/books?id=PsIYzxvlLucC&hl=&source=gbs_api

260
260

Jan 18, 2016
01/16

by
Schultens, Albert

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eye 260

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favorite 0

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comment 0

Topic: bub_upload

Source: http://books.google.com/books?id=s6FAAAAAcAAJ&hl=&source=gbs_api

149
149

Feb 11, 2015
02/15

by
Albert Schultens

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eye 149

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favorite 0

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comment 0

Topic: bub_upload

Source: http://books.google.com/books?id=f7tCAAAAcAAJ&hl=&source=gbs_api

100
100

Oct 13, 2014
10/14

by
Albert Schultens

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eye 100

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favorite 0

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comment 0

Topic: bub_upload

Source: http://books.google.com/books?id=FydHAAAAcAAJ&hl=&source=gbs_api

37
37

Jul 20, 2013
07/13

by
Jennifer Schultens

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Let M be a totally orientable graph manifold with characteristic submanifold T and let M = V cup_S W be a Heegaard splitting. We prove that S is standard. In particular, S is the amalgamation of strongly irreducible Heegaard splittings. The splitting surfaces S_i of these strongly irreducible Heegaard splittings have the property that for each vertex manifold N of M, S_i cap N is either horizontal, pseudohorizontal, vertical or pseudovertical.

Source: http://arxiv.org/abs/math/0406197v2

102
102

Oct 2, 2014
10/14

by
Albert Schultens

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eye 102

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Topics: quae, quod, qui, atque, cum, quam, vel, oratio, oratio funebris, memoriam hermanni, van den, una...

Source: http://books.google.com/books?id=8xMUAAAAQAAJ&hl=&source=gbs_api

29
29

Sep 23, 2013
09/13

by
Jennifer Schultens; Richard Weidmann

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We construct a sequence of pairs of 3-manifolds each with torus boundary and with the following two properties: 1) For the result of a carefully chosen glueing of the nth pair of 3-manifolds along their boundary tori, the ratio of the genus of the resulting 3-manifold to the sum of the genera of the pair of 3-manifolds is less than 1/2. 2) The result of amalgamating certain unstabilized Heegaard splittings of the pair of 3-manifolds to form a Heegaard splitting of the resulting 3-manifold...

Source: http://arxiv.org/abs/math/0510386v2

33
33

Sep 18, 2013
09/13

by
Martin Scharlemann; Jennifer Schultens

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We analyze how a family of essential annuli in a compact 3-manifold will induce, from a strongly irreducible generalized Heegaard splitting of the ambient manifold, generalized Heegaard splittings of the complementary components. There are specific applications to the subadditivity of tunnel number of knots, improving somewhat bounds of Kowng. For example, in the absence of 2-bridge summands, the tunnel number of the sum of n knots is no less than 2/5 the sum of the tunnel numbers.

Source: http://arxiv.org/abs/math/9903078v1

1,422
1.4K

Feb 16, 2007
02/07

by
Schultens, Albert, 1686-1750

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24
24

Sep 22, 2013
09/13

by
Piotr Przytycki; Jennifer Schultens

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Kakimizu complex of a knot is a flag simplicial complex whose vertices correspond to minimal genus Seifert surfaces and edges to disjoint pairs of such surfaces. We discuss a general setting in which one can define a similar complex. We prove that this complex is contractible, which was conjectured by Kakimizu. More generally, the fixed-point set (in the Kakimizu complex) for any subgroup of an appropriate mapping class group is contractible or empty. Moreover, we prove that this fixed-point...

Source: http://arxiv.org/abs/1004.4168v2

3
3.0

Jul 13, 2020
07/20

by
Schultens, Alberto (Ed.)

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Source: Asiatic Society of Mumbai Identifier: BK_00056059 Digitization Sponsor: Government of Maharashtra

Topics: Book, Other Literatures, Granth Sanjeevani

102
102

Jul 20, 2013
07/13

by
Martin Scharlemann; Jennifer Schultens

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eye 102

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We prove that the tunnel number of the sum of n knots is at least n.

Source: http://arxiv.org/abs/math/9902008v1

33
33

Nov 1, 2018
11/18

by
Schultens, Albert, 1686-1750

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4 unnumbered leaves, 76 pages ; (8vo)

Topic: Boerhaave, Herman, 1668-1738

35
35

Sep 20, 2013
09/13

by
Martin Scharlemann; Jennifer Schultens

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The Heegaard genus g of an irreducible closed orientable 3-manifold puts a limit on the number and complexity of the pieces that arise in the Jaco-Shalen-Johannson decomposition of the manifold by its canonical tori. For example, if p of the complementary components are not Seifert fibered, then p < g. This result generalizes work of Kobayashi. The Heegaard genus g also puts explicit bounds on the complexity of the Seifert pieces. For example, if the union of the base spaces of the Seifert...

Source: http://arxiv.org/abs/math/9802101v1

235
235

Sep 6, 2016
09/16

by
Schultens, Albert, 1686-1750

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Title vignettes

Topic: bub_upload

Source: http://books.google.com/books?id=y3_NAAAAMAAJ&hl=&source=gbs_api

96
96

Nov 2, 2014
11/14

by
Henrik Albert Schultens

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eye 96

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Topic: bub_upload

Source: http://books.google.com/books?id=LQsUAAAAQAAJ&hl=&source=gbs_api

39
39

Sep 19, 2013
09/13

by
Martin Scharlemann; Jennifer Schultens

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We consider compact 3-manifolds M having a submersion h to R in which each generic point inverse is a planar surface. The standard height function on a submanifold of the 3-sphere is a motivating example. To (M, h) we associate a connectivity graph G. For M in the 3-sphere, G is a tree if and only if there is a Fox reimbedding of M which carries horizontal circles to a complete collection of complementary meridian circles. On the other hand, if the connectivity graph of the complement of M is a...

Source: http://arxiv.org/abs/math/0304271v1

42
42

Sep 18, 2013
09/13

by
Toshio Saito; Martin Scharlemann; Jennifer Schultens

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These notes grew out of a lecture series given at RIMS in the summer of 2001. The lecture series was aimed at a broad audience that included many graduate students. Its purpose lay in familiarizing the audience with the basics of 3-manifold theory and introducing some topics of current research. The first portion of the lecture series was devoted to standard topics in the theory of 3-manifolds. The middle portion was devoted to a brief study of Heegaaard splittings and generalized Heegaard...

Source: http://arxiv.org/abs/math/0504167v1

31
31

Sep 23, 2013
09/13

by
Hugh Howards; Yo'av Rieck; Jennifer Schultens

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We unify the notions of thin position for knots and for 3-manifolds and survey recent work concerning these notions.

Source: http://arxiv.org/abs/0903.5543v1

1
1.0

Jun 30, 2018
06/18

by
Christoph Schultens; Andreas Schadschneider; Chikashi Arita

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Stochastic processes of interacting particles with varying length are relevant e.g. for several biological applications. We try to explore what kind of new physical effects one can expect in such systems. As an example, we extend the exclusive queueing process that can be viewed as a one-dimensional exclusion process with varying length, by introducing Langmuir kinetics. This process can be interpreted as an effective model for a queue that interacts with other queues by allowing incoming and...

Topics: Physics, Nonlinear Sciences, Quantitative Biology, Statistical Mechanics, Quantitative Methods,...

Source: http://arxiv.org/abs/1409.0329

56
56

Jan 16, 2016
01/16

by
Schultens, Henrik Albert; Maidānī, Aḥmad Ibn-Muḥammad al-

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Text arab. u. lat

Topic: bub_upload

Source: http://books.google.com/books?id=rpVCAAAAcAAJ&hl=&source=gbs_api

648
648

Nov 19, 2014
11/14

by
Herbelot, Barthélemy d', 1625-1695; Reiske, Johann Jacob, 1716-1774; Schultens, Henrik Albert, 1749-1793; Cousin, Louis, 1627-1707; Visdelou, Claude de, 1656-1737; B., P. D; P. D. B; Ḣājī Khalfah, d 1658. Kashf al-z̤unūn; Galland, Antoine, 1646-1715. ed

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Mode of access: Internet

Topics: bub_upload, Oriental literature, Arabic literature, Turkish literature, Persian literature, Tatars,...

Source: http://books.google.com/books?id=7n0IAAAAQAAJ&hl=&source=gbs_api